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Finding the Fourth Proportional to 96,465.28, 133,033.08 and 66,197.20

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Solution

The fourth proportional to 96,465.28, 133,033.08 and 66,197.20 is: 91,291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,465.28 : 133,033.08 = 66,197.20 : x
  2. Step 2: Convert to fraction form
    96,465.28/133,033.08 = 66,197.20/x
  3. Step 3: Cross multiply
    96,465.28x = 133,033.08 × 66,197.20
  4. Step 4: Simplify right side
    96,465.28x = 8,806,417,403.38
  5. Step 5: Solve for x
    x = 8,806,417,403.38/96,465.28
  6. Step 6: Final answer
    x = 91,291.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.